Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises - Page 359: 72

Answer

30.46 is the score after 2 years

Work Step by Step

The law of forgetting is given by this equation: $\log P = \log (P_{0}) - c \log (t+1)$ In the problem, it is given that c is 0.3, t is 24 months, and $P_{0}$ is 80 Thus $\log P = \log (80) - 0.3 \log (25)$ $\log P = \log (\frac{80}{25^{0.3}})$ $P = 30.46$
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